The Bomem DA3 is a type of Fourier transform spectrometer used for measuring various spectral data and [Usagi Electric] has one. On his quest to understand it he runs down a number of rabbit holes, ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

Department of Chemistry, The University of Texas at Austin, Austin, Texas 78712, United States ...

Learn the very basics of the FFT, by implementing in an unfussy language, with no third party libraries and code that is very modular and easy to read and understand. The language of choice is ISO C99 ...

Abstract: The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT) by a transform order, representing signals in intermediate time-frequency domains. The FRFT has ...

This multipart series will review the discrete Fourier Transform and describe how to avoid common problems when transitioning from the time to frequency domain. A recent post on phase noise discussed ...

The sampling process of a signal is of an ideal type as it extends from −∞ to +∞ on the time axis, hence the infinite number of instants t n. This destroys the possibility of using an electronic ...

The so-called unit impulse (or mathematical impulse) is of considerable importance in signal theory. This tutorial will examine its physical meaning through an ideal experiment. Note that the delta ...